Finding the Third Proportional to 6,174 and 13,211

Step by Step Solution

1. Step 1: Write the proportion equation
   6,174 : 13,211 = 13,211 : x
2. Step 2: Convert to fraction form
   6,174/13,211 = 13,211/x
3. Step 3: Cross multiply
   6,174x = 13,211 × 13,211
4. Step 4: Simplify right side
   6,174x = 174,530,521
5. Step 5: Solve for x
   x = 174,530,521/6,174
6. Step 6: Final answer
   x = 28,268.63